71920896 has 72 divisors (see below), whose sum is σ = 196665504. Its totient is φ = 23316480.

The previous prime is 71920879. The next prime is 71920903. The reversal of 71920896 is 69802917.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27151 + ... + 29681.

Almost surely, 2^71920896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98332752).

71920896 is an abundant number, since it is smaller than the sum of its proper divisors (124744608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71920896 is a wasteful number, since it uses less digits than its factorization.

71920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 71920896 is about 8480.6188453438. The cubic root of 71920896 is about 415.8643541966.

The spelling of 71920896 in words is "seventy-one million, nine hundred twenty thousand, eight hundred ninety-six".